[PDF.59az] Interpolation of Weighted Banach Lattices: A Characterization of Relatively Decomposable Banach Lattices (Memoirs of the American Mathematical Society)

Interpolation of Weighted Banach Lattices: A Characterization of Relatively Decomposable Banach Lattices (Memoirs of the American Mathematical Society)

[PDF.qj09] Interpolation of Weighted Banach Lattices: A Characterization of Relatively Decomposable Banach Lattices (Memoirs of the American Mathematical Society)

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 | #10485768 in Books |  2003-09 | Original language:English |  9.96 x.28 x6.89l,.59 | File type: PDF | 127 pages

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It is known that for many, but not all, compatible couples of Banach spaces $(A_{0},A_{1})$ it is possible to characterize all interpolation spaces with respect to the couple via a simple monotonicity condition in terms of the Peetre $K$-functional. Such couples may be termed Calderon-Mityagin couples. The main results of the present paper provide necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0},X_{1})$ which ensure that,...

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